Networked Dynamic Event-Triggered Control for Linear Markov Jump Systems Under Stochastic Communication Protocol
Tao Yu, Ruihao Wang, Hao Xu, Zhiying Wu, Shuping He · IEEE Transactions on Control of Network Systems · 2025
This article addresses the problem of dynamic event-triggered (DET) control for linear Markov jump systems under the stochastic communication protocol (SCP). The SCP establishes a connection between sensors and the controller, ensuring that the communication network is accessed exclusively by one sensor node at each transmission moment. To further reduce the use of communication resources, distributed DETs are designed and arranged at each output channel. A dynamic output feedback (DOF) controller is constructed so that the system state response remains within a specified threshold in a given finite time. The Lyapunov method yields sufficient conditions to ensure the finite-time boundedness of the closed-loop system. To solve the nonlinear constraint conditions in the DOF controller design and get the optimal finite-time$H_{\infty }$performance$\gamma _{\min }$, a solving algorithm that combines the whale optimization algorithm (WOA) and the linear matrix inequality method is proposed. In addition, a method for choosing initial values for the WOA is also given. Finally, two numerical examples and a single-link robotic arm example are given to demonstrate the effectiveness of the designed control method.